DocumentCode :
325331
Title :
Relationships between input-output stability and exponentially stable periodic orbits
Author :
Chung, Chung Choo ; Hauser, John
Author_Institution :
Hanyang Univ., Seoul, South Korea
Volume :
5
fYear :
1998
fDate :
21-26 Jun 1998
Firstpage :
2790
Abstract :
We present new results concerning the relationships between the input-output and Lyapunov stability of nonlinear system possessing a periodic orbit. Definition of small-signal finite-gain Lp stability around periodic orbit is introduced. We show Lp stability of exponentially stable periodic orbit using quadratic Lyapunov functions for the periodic orbit. The L2 gain analysis is presented with Hamiltonian-Jacobi inequality along with an example
Keywords :
Lyapunov methods; asymptotic stability; control system analysis; nonlinear systems; Hamiltonian-Jacobi inequality; asymptotic stability; gain analysis; input-output stability; nonlinear system; periodic orbits; quadratic Lyapunov functions; Convergence; Government; Linear systems; Lyapunov method; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Orbits; Protection; Stability;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
ISSN :
0743-1619
Print_ISBN :
0-7803-4530-4
Type :
conf
DOI :
10.1109/ACC.1998.688362
Filename :
688362
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=325331
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